Novel solutions and stability of quaternion differential equations: symmetry and asymmetry analyses using matrix representation and Lyapunov methods by Prasantha Bharathi Dhandapani, Anthony Raj Abraham, Hijaz Ahmad, Taha Radwan

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Application of Nonlinear Time-Fractional Partial Differential Equations to Image Processing via Hybrid Laplace Transform Method by B. A. Jacobs, C. Harley

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A New Impulsive Multi-Orders Fractional Differential Equation Involving Multipoint Fractional Integral Boundary Conditions by Guotao Wang, Sanyang Liu, Dumitru Baleanu, Lihong Zhang

“…A new impulsive multi-orders fractional differential equation is studied. The existence and uniqueness results are obtained for a nonlinear problem with fractional integral boundary conditions by applying standard fixed point theorems. …”
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A New Approach for the Approximate Analytical Solution of Space-Time Fractional Differential Equations by the Homotopy Analysis Method by Ali Demir, Mine Aylin Bayrak, Ebru Ozbilge

“…The first space-time fractional differential equation is transformed into a space fractional differential equation or a time fractional differential equation before the HAM. …”
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A Crank-Nicolson Difference Scheme for Solving a Type of Variable Coefficient Delay Partial Differential Equations by Wei Gu, Peng Wang

“…A linearized Crank-Nicolson difference scheme is constructed to solve a type of variable coefficient delay partial differential equations. The difference scheme is proved to be unconditionally stable and convergent, where the convergence order is two in both space and time. …”
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Periodic boundary value problem for second order integro-ordinary differential equations with general kernel and Carathéodory nonlinearities by Juan J. Nieto

“…We study the existence of solutions for the periodic boundary value problem for some second order integro-differential equations with a general kernel. Also we develop the monotone method to approximate the extremal solutions of the problem.…”
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Critical Oscillation Constant for Euler Type Half-Linear Differential Equation Having Multi-Different Periodic Coefficients by Adil Misir, Banu Mermerkaya

“…International Journal of Differential Equations…”
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Existence and Uniqueness of Positive Solutions for Singular Nonlinear Fractional Differential Equation via Mixed Monotone Operator Method by Tian Wang, Zhaocai Hao

“…In this article, we discuss the existence and uniqueness of positive solution for a class of singular fractional differential equations, where the nonlinear term contains fractional derivative and an operator. …”
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Stability, Boundedness, and Existence of Periodic Solutions to Certain Third-Order Delay Differential Equations with Multiple Deviating Arguments by A. T. Ademola, B. S. Ogundare, M. O. Ogundiran, O. A. Adesina

“…International Journal of Differential Equations…”
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Adaptive Control for Multi-Agent Systems Governed by Fractional-Order Space-Varying Partial Integro-Differential Equations by Zhen Liu, Yingying Wen, Bin Zhao, Chengdong Yang

Subjects: “…partial integro-differential equations…”
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Numerical Contour Integral Methods for Free-Boundary Partial Differential Equations Arising in American Volatility Options Pricing by Yong Chen, Jianjun Ma

“…The aim of this paper is to study the numerical contour integral methods (NCIMs) for solving free-boundary partial differential equations (PDEs) from American volatility options pricing. …”
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Peano Theorems for Pedjeu–Ladde-Type Multi-Time Scale Stochastic Differential Equations Driven by Fractional Noises by Arcady Ponosov, Lev Idels

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Delay differential equations via the matrix lambert w function and bifurcation analysis: application to machine tool chatter by Sun Yi, Patrick W. Nelson, A. Galip Ulsoy

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Existence of Solutions for Singular Second-Order Ordinary Differential Equations with Periodic and Deviated Nonlocal Multipoint Boundary Conditions by Ahmed M. A. El-Sayed, Fatma M. Gaafar

“…This paper studies the existence of continuous solutions for a class of nonlinear singular second-order ordinary differential equations subject to one of the following boundary conditions: periodic-deviated multipoint boundary conditions, periodic-integral boundary conditions, and periodic-nonlocal integral conditions in the Riemann-Stieltjes sense. …”
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Modeling and Analysis of Material Flows in Re-Entrant Supply Chain Networks Using Modified Partial Differential Equations by Fenglan He, Ming Dong, Xiaofeng Shao

“…The basic partial differential equation (PDE) models for supply chain networks with re-entrant nodes and their macroscopic are proposed. …”
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Diverse Precise Traveling Wave Solutions Possessing Beta Derivative of the Fractional Differential Equations Arising in Mathematical Physics by Imran Siddique, Arshad M. Mirza, Kausar Shahzadi, M. Ali Akbar, Fahd Jarad

“…The accomplished solutions show that the presented methods are not only powerful mathematical tools for generating more solutions of nonlinear time fractional partial differential equations but also can be applied to nonlinear space-time fractional partial differential equations.…”
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Picard Successive Approximation Method for Solving Differential Equations Arising in Fractal Heat Transfer with Local Fractional Derivative by Ai-Min Yang, Cheng Zhang, Hossein Jafari, Carlo Cattani, Ying Jiao

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The Solutions of Sturm-Liouville Boundary-Value Problem for Fourth-Order Impulsive Differential Equation via Variational Methods by Yu Tian, Dongpo Sun

“…The Sturm-Liouville boundary-value problem for fourth-order impulsive differential equations is studied. The existence results for one solution and multiple solutions are obtained. …”
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Positive Solutions of a Two-Point Boundary Value Problem for Singular Fractional Differential Equations in Banach Space by Bo Liu, Yansheng Liu

“…This paper investigates the existence of positive solutions to a two-point boundary value problem (BVP) for singular fractional differential equations in Banach space and presents a number of new results. …”
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A Nonlinear Fractional Problem with a Second Kind Integral Condition for Time-Fractional Partial Differential Equation by Benbrahim Abdelouahab, Taki-Eddine Oussaeif, Adel Ouannas, Khaled M. Saad, Hadi Jahanshahi, Ahmed Diar, Awad M. Aljuaid, Ayman A. Aly

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